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Finding the Third Proportional to 154,197 and 337,918.50

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Solution

The third proportional to 154,197 and 337,918.50 is: 740,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,197 : 337,918.50 = 337,918.50 : x
  2. Step 2: Convert to fraction form
    154,197/337,918.50 = 337,918.50/x
  3. Step 3: Cross multiply
    154,197x = 337,918.50 × 337,918.50
  4. Step 4: Simplify right side
    154,197x = 114,188,912,642.25
  5. Step 5: Solve for x
    x = 114,188,912,642.25/154,197
  6. Step 6: Final answer
    x = 740,539.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.